An experiment consists of tossing three dice. a)    Find the sample space. b)    Find the event A that the sum of the dots on the dice equals 8. c)    Find the event B that the sum of the dots on the dice is greater than 16.

40 Jennie's teacher told her to select two problems from a list of two C-level problems, five B-level problems, and one A-level problem. If she selected at random, what is the probability that she se- lected two B-level problems?

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. After identifying the sample space for a couple having four​ children, find the probability of getting onegirland threeboys (in any order).   A. Identify the sample space for a couple having four children. ? (Use a comma to separate answers as​ needed.) B. Find the probability of getting one girl and three boys (in any order)? ​(Typean integer or a decimal. Do not​ round.)

The 52 cards in a standard deck of playing are described below. There are 4 suits: Spades, Hearts, Diamonds, and Clubs. Within each suit, there are 13 ranks: A,K,Q,J,10,9,8,7,6,5,4,3,2 If 5 cards are dealt, what is the probability of getting 2 cards of the same rank and 3 unmatched cards? Write 9 digits to the right of the decimal point in your answer. Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer

Keno is a casino game in which the player has a card with the numbers 1 through 80 on it. The player selects a set of k numbers from the card, where k can range from one to ifteen. The “caller” announces twenty winning numbers, chosen at random from the eighty. The amount won depends on how many of the called numbers match those the player chose. Suppose the player picks ten numbers. What is the probability that among those ten are six winning numbers?

For Parts A, B, and C, use the experiment below. Show all work. Two fair six-sided dice are rolled. Part A: How many outcomes are in the sample space of the experiment? Part B: What is the probability the sum of the two dice will be greater than or equal to 10? Part C: Laura and Bethany want to decide who fills the car with gasoline for their upcoming trip. Laura will fill the car if the sum of the dice is greater than or equal to 10, and Bethany will fill the car if the sum of the dice is less than 5 If the sum of the dice is any other value, the result is discarded. Does this method provide a fair way to decide who fills the car with gasoline? Provide a supporting explanation.

. A small-town carnival has a simple game that you can play with a number cube. If you roll a  6 you win a fluffy teddy bear. If you roll a 1, 2, 3, 4, or 5 you get a piece of stale gum. After  watching other children play the game 50 times, only 2 children have won a teddy bear. You  decide to simulate the game with a random number table.  a) Determine labels for your outcomes. b) Using the random number table below, determine how many times a “6” appears in 50 trials.  c) What percentage of a “6” in 50 trials did you get from the simulation?  d) What percentage of a “6” did you observe at the carnival? e) How do your answers for parts (c) and (d) compare? What does this tell you about the